11223120311200 has 288 divisors, whose sum is σ = 31477097836800. Its totient is φ = 3827755008000.

The previous prime is 11223120311191. The next prime is 11223120311233. The reversal of 11223120311200 is 211302132211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837602101 + ... + 837615499.

It is an arithmetic number, because the mean of its divisors is an integer number (109295478600).

Almost surely, 2^{11223120311200} is an apocalyptic number.

11223120311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11223120311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15738548918400).

11223120311200 is an abundant number, since it is smaller than the sum of its proper divisors (20253977525600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11223120311200 is a wasteful number, since it uses less digits than its factorization.

11223120311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14200 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11223120311200 its reverse (211302132211), we get a palindrome (11434422443411).

The spelling of 11223120311200 in words is "eleven trillion, two hundred twenty-three billion, one hundred twenty million, three hundred eleven thousand, two hundred".